Properties of the Number 8044

Eight Thousand Forty-Four

Basics

Value: 8043 → 8044 → 8045

Parity: even

Prime: No

Previous Prime: 8039

Next Prime: 8053

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 2011

Divisors: 1, 2, 4, 2011, 4022, 8044

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101101100

Octal: 17554

Duodecimal: 47A4

Hexadecimal: 1f6c

Square: 64705936

Square Root: 89.68834929911465

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = (9·n² + 5·n + 2)/2. A64225

Modified Schroeder numbers for q=3. A114292

A binomial recursion: a(n) is the coefficient of·in z(n), where z(1) = x and z(n) = 1 + ∑_k=1..n-1 (binomial(n,k) + 1)*z(k) for n > 1. A135074

O.g.f. satisfies: A(x) = ∑_n>=0 nⁿ * xⁿ * A(n²*x)ⁿ/n! * exp(-n·x*A(n²*x)). A218681

Number of ordered 5-tuples of integers from [ 1..n ] with no global factor. A15650

Number of partitions p of n such that median(p) >= multiplicity(min(p)). A240216

Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice. A2892

Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal. A98499

Numbers k such that 7·10^k + 13 is prime. A274676

Expansion of ∏_k>=0 ((1+x^3·k+1)/(1-x^3·k+1))². A261649